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Torus actions on rationally elliptic manifolds

Galaz-García, F.; Kerin, M.; Radeschi, M.

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Authors

M. Radeschi



Abstract

An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed (simply connected) rationally elliptic manifold. In the maximal-rank case, the manifolds admitting such actions are classified up to equivariant rational homotopy equivalence.

Citation

Galaz-García, F., Kerin, M., & Radeschi, M. (2021). Torus actions on rationally elliptic manifolds. Mathematische Zeitschrift, 297, 197-221. https://doi.org/10.1007/s00209-020-02508-6

Journal Article Type Article
Acceptance Date Mar 8, 2020
Online Publication Date Mar 28, 2020
Publication Date 2021-02
Deposit Date Apr 1, 2020
Publicly Available Date Mar 29, 2024
Journal Mathematische Zeitschrift
Print ISSN 0025-5874
Electronic ISSN 1432-1823
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 297
Pages 197-221
DOI https://doi.org/10.1007/s00209-020-02508-6
Related Public URLs https://arxiv.org/abs/1511.08383

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